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                [Hnoi2013]数列                </h1>
                <p>时间限制：3s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">小T最近在学着买股票，他得到内部消息：F公司的股票将会疯涨。股票每天的价格已知是正整数，并且由于客观上的原因，最多只能为N。在疯涨的K天中小T观察到：除第一天外每天的股价都比前一天高，且高出的价格（即当天的股价与前一天的股价之差）不会超过M，M为正整数。并且这些参数满足M(K-1)&lt;N。<br />
小T忘记了这K天每天的具体股价了，他现在想知道这K天的股价有多少种可能</span></p></p><hr/><h3>输入格式</h3><p><p><font size="4">只有一行用空格隔开的四个数：N、K、M、P。对P的说明参见后面&ldquo;输出格式&rdquo;中对P的解释。<br />
输入保证20%的数据M,N,K,P&le;20000，保证100%的数据M,K,P&le;109，N&le;1018 。</font></p></p><hr/><h3>输出格式</h3><p><p><font size="4">仅包含一个数，表示这K天的股价的可能种数对于P的模值。【输入输出样例】<br />
</font></p></p><hr/><h3>样例输入</h3><pre>7  3 2 997             </pre><hr/><h3>样例输出</h3><pre>16
【样例解释】
输出样例的16表示输入样例的股价有16种可能：
{1，2，3}，{1，2，4}，{1，3，4}，{1，3，5}， {2，3，4}，{2，3，5}，{2，4，5}，{2，4，6}， {3，4，5}，{3，4，6}，{3，5，6}，{3，5，7}，{4，5，6}，{4，5，7}，{4，6，7}，{5，6，7}</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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